A case study of multi-objective control: synthesis and analysis

This paper explores the effectiveness of a state feedback mixed H/sub 2//H/sub /spl infin// optimal control design applied to the 1990 ACC benchmark problem. This simple mechanical system captures many of the challenging robust control issues of more complex aerospace applications. A robust controller is derived that achieves H/sub /spl infin// robust stability with optimal nominal H/sub 2/ performance for a system with real parameter variations. Detailed analysis, including /spl mu/ analysis of the robust stability characteristics for the closed-loop system is also presented. Results indicate that a controller may be synthesized to meet the design objectives, but is conservative in terms of robustness.